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Math Help - [SOLVED] Convert polar coordinates to rectangular

  1. #1
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    [SOLVED] Convert polar coordinates to rectangular

    1. r=-3*sintheta
    2. r*sectheta=3

    How do you make these into rectangular equations?
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  2. #2
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    Quote Originally Posted by bilbobaggins View Post
    1. r=-3*sintheta
    2. r*sectheta=3

    How do you make these into rectangular equations?
    1. r = - 3 \sin \theta \Rightarrow r^2 = -3 r \sin \theta ......

    2. r \sec \theta = 3 \Rightarrow \frac{r}{\cos \theta} = 3 \Rightarrow r = 3 \cos \theta. Now use what you've learned from how I did 1.
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    Quote Originally Posted by mr fantastic View Post
    1. r = - 3 \sin \theta \Rightarrow r^2 = -3 r \sin \theta ......

    2. r \sec \theta = 3 \Rightarrow \frac{r}{\cos \theta} = 3 \Rightarrow r = 3 \cos \theta. Now use what you've learned from how I did 1.
    I had already gotten to where you did in 2. 1 is still troubling me though, so you just multiplied both sides by r?
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  4. #4
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    Quote Originally Posted by bilbobaggins View Post
    I had already gotten to where you did in 2. 1 is still troubling me though, so you just multiplied both sides by r?
    That's what I did in 1, right? And after doing this, is it obvious what comes next?
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  5. #5
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    Quote Originally Posted by mr fantastic View Post
    That's what I did in 1, right? And after doing this, is it obvious what comes next?
    x^2+y^2=-3y?
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  6. #6
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    Quote Originally Posted by bilbobaggins View Post
    x^2+y^2=-3y?
    (number 1, I assume)
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